Time Speed and Distance For competitive exams
Time Speed and Distance or some calls it Speed Distance and Time is one of the most important topics of the QuantArithmetic section questions from which comes in almost all competitive exams like Banking, SSC and Railway Exams. Through this blog we will not only discuss the concept but also Quant shortcuts related to this topic. If you go through the previous year papers, you will observe questions being asked not only directly but also in the form of DI.
So let’s discuss the topic in detail:
- Time, Speed and Distance formulas:
- Distance travelled = (Speed x Time)
So, Speed = Distance / Timeand Time = Distance / Speed
km/hr to m/sec conversion:
m/sec to km/hr conversion:
If the ratio of the speeds of A and B is a: b, then the ratio of the times taken by them to cover the same distance is 1 / a : 1 / b or b : a.
Suppose a man covers a certain distance at x km/hr and an equal distance at y km/hr. Then, the average speed during the whole journey is (2xy / x + y) km/hr.
To learn How to solve Time Speed and Distance problems, just click –
Q1. A man crosses a 600 m long road in 5 minutes. What is his speed in km per hour?
Q2. A train covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1(2/3) hours, it must travel at a speed of:
Q3. If a person runs at 14 km/hr instead of 10 km/hr, he would have covered 20 km more. The actual distance travelled by him is:
Sol: Let t hr is the time for which that person runs.
14t – 10t = 20
⇒ 4t = 20
Hence, t = 5hr
So, the actual distance travelled by him is = 10 × 5 = 50km
Q4. Excluding stoppages, the speed of a train is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the train stop per hour?
Sol: Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = (9 / 54) × 60 min = 10 min
Q5. A person covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less time. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:
Q6. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
Q7. The towns A, B and C are on a straight line. Town C is between A and B. The distance from A to B is 100 km. How far is A from C?
- The distance from A to B is 25% more than the distance from C to B.
- The distance from A to C is ¼ of the distance C to B.
Mark your answer as:-
(a) I alone sufficient while II alone not sufficient to answer
(b) II alone sufficient while I alone not sufficient to answer
(c) Either I or II alone sufficient to answer
(d) Both I and II are not sufficient to answer
(e) Both I and II are necessary to answer
Don’t forget to share your feedback and doubts in the comment box section regarding the Speed, Distance and Time questions discussed above which will be beneficial for your upcoming SSC exams, banking exams and Railway exams. You can get our quant course video lectures.
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